Least Common Multiple of 32/83, 69/53, 521/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/83, 69/53, 521/198 quickly i.e. 1150368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/83, 69/53, 521/198 is 1150368.

LCM(32/83, 69/53, 521/198) = 1150368

LCM of 32/83, 69/53, 521/198

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 32/83,69/53,521/198

Given numbers are 32/83,69/53,521/198

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 32,69,521

Least Common Multiple of Numerators i.e. LCM of 32,69,521 is 1150368.

GCF of Denominators means GCF of 83,53,198 as per the given fractions.

GCF of 83,53,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,69,521

LCM of Fractions 32/83,69/53,521/198 is 1150368

Given numbers has no common factors except 1. So, there LCM is their product i.e 1150368

Least Common Multiple of 32,69,521 with GCF Formula

Least Common Multiple of 32,69,521 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 32,69,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,69,521) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(32,69,521) x common factors =1 x 1 = 1

LCM(32,69,521) = ( 32 × 69 × 521 ) / 1

LCM(32,69,521) = 1150368 / 1

LCM(32,69,521) = 1150368


Lets's calculate GCF of 83,53,198

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1150368/1

Therefore the LCM of Fractions 32/83,69/53,521/198 is 1150368

Greatest Common Factor of 83,53,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,53,198 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 83,53,198 . The biggest common factor number is the GCF number.
So the greatest common factor 83,53,198 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/83, 69/53, 521/198

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 32/83, 69/53, 521/198?

Answer: LCM of Numerators as per given numbers 32/83, 69/53, 521/198 is

LCM of Numerators i.e. for 32,69,521 is 1150368

GCF of denominators i.e. for 83,53,198 is 1.

Thus, LCM of Fractions is 1150368.Finally, LCM of Fractions for 32/83, 69/53, 521/198 is 1150368.